Peel the Shallots. Cut each halved shallot in half again.Try to keep the pieces of shallot together to roast.
Toss the Garlic and Shallot pieces with some olive oil to coat.
Roast them on a sheet pan for 15 minutes. Check to see if the garlic and shallots are tender.Garlic will be slightly browned and the shallots should have some browning as well.If they are not tender, roast for 5 additional minutes.Remove from the oven when soft. Let cool to room temperature.
Assembling the Vinaigrette
Cut the shallots into smaller pieces so it is easier to puree.
In the tall container, add the garlic, shallots, honey, dijon mustard, white wine vinegar and lemon juice.
Using the immersion blender, puree the ingredients in the container.The ingredients should be smooth.
Drizzle in the olive oil, as the immersion blender is running.
Adjust seasoning with Salt and Pepper, or additional honey to additional sweetness.